1. What is a Triangle Angle Calculator?

Definition: This calculator determines the third angle (A) in a triangle when angles B and C are known, and shows their sum.

Purpose: It helps students, engineers, and designers quickly calculate triangle angles without manual computation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( A \) — The calculated angle (degrees)
• \( B \) — Known angle B (degrees)
• \( C \) — Known angle C (degrees)

Explanation: The sum of all angles in a triangle always equals 180°. Knowing two angles allows calculation of the third.

3. Importance of Triangle Angle Calculation

Details: Accurate angle calculation is essential in geometry, trigonometry, architecture, and engineering applications.

4. Using the Calculator

Tips: Enter angles B and C in degrees (must be positive numbers and their sum must be less than 180°).

5. Frequently Asked Questions (FAQ)

Q1: Why does the sum of B and C need to be less than 180°?
A: Because all three angles in a triangle must sum to exactly 180°, so B + C must be less than 180° to leave room for angle A.

Q2: Can I use decimal values for angles?
A: Yes, the calculator accepts decimal values (e.g., 45.5°) for precise calculations.

Q3: What if I get an error message?
A: Check that: 1) Both angles are entered, 2) Each angle is between 0-180°, and 3) Their sum is less than 180°.

Q4: Does this work for all types of triangles?
A: Yes, this applies to scalene, isosceles, and equilateral triangles - all triangles have 180° total.

Q5: How precise are the results?
A: Results are shown to one decimal place, but calculations use higher precision internally.